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Finding the Fourth Proportional to 676.59, 1,014.96 and 214.41

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Solution

The fourth proportional to 676.59, 1,014.96 and 214.41 is: 321.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.59 : 1,014.96 = 214.41 : x
  2. Step 2: Convert to fraction form
    676.59/1,014.96 = 214.41/x
  3. Step 3: Cross multiply
    676.59x = 1,014.96 × 214.41
  4. Step 4: Simplify right side
    676.59x = 217,617.57
  5. Step 5: Solve for x
    x = 217,617.57/676.59
  6. Step 6: Final answer
    x = 321.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.